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Finding the Fourth Proportional to 359.45, 496.25 and 276.39

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Solution

The fourth proportional to 359.45, 496.25 and 276.39 is: 381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.45 : 496.25 = 276.39 : x
  2. Step 2: Convert to fraction form
    359.45/496.25 = 276.39/x
  3. Step 3: Cross multiply
    359.45x = 496.25 × 276.39
  4. Step 4: Simplify right side
    359.45x = 137,157.16
  5. Step 5: Solve for x
    x = 137,157.16/359.45
  6. Step 6: Final answer
    x = 381.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.